An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of the system.

1 1 4 2

0 3 1 7
0 −2 4 0

  (x, y, z) = (-4, 2, 1)

Step-by-step explanation:

See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.

The [x, y, z] result vector is the column on the right.

  (x, y, z) = (-4, 2, 1)

_____

Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743